How to Make It
In a bowl, whisk the orange juice with the lime juice, olive oil, garlic, oregano, cumin, cilantro, onion and season with salt and pepper. Stir in the shredded pork and let stand for 30 minutes.
Using a slotted spoon, mound the pork on the bottom of each roll. Spoon a little of the marinade over the pork and top with the ham, salami, Swiss cheese and dill pickles. Spread mustard and hot sauce on the top half of each roll and press the sandwiches closed. Brush the rolls on top and bottom with butter.
Preheat a panini press. Working with one or two sandwiches at a time, press the cubanos until toasted and the Swiss cheese is melted. Cut the sandwiches in half and serve immediately.